Solve 42.9sin(66.2)/sin(32)

$$\frac{ 42.9 \sin ( 66.2 ) }{ \sin ( 32 ) }$$

Evaluate

$$\frac{3925176975075747963}{52991926423320490}\approx 74.071226317$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{42.9 \cdot 0.9149596678498247}{0.5299192642332049}$$

Multiply 42.9 and 0.9149596678498247 to get 39.25176975075747963.

$$\frac{39.25176975075747963}{0.5299192642332049}$$

Expand \frac{39.25176975075747963}{0.5299192642332049} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{3925176975075747963}{52991926423320490}$$

Factor

$$\frac{3 \cdot 11 \cdot 13 \cdot 197699 \cdot 46280439853}{2 \cdot 5 \cdot 41 \cdot 4283 \cdot 11467 \cdot 2631649} = 74\frac{3774419750031728}{52991926423320490} = 74.07122631700308$$